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 | JOURNAL OF SYNCHROTRON RADIATION |
Beamline for calibration of transfer standard light sources in the UV and VUV regions
aElectrotechnical Laboratory, Umezono 1-1-4, Tsukuba-shi, Ibaraki 305, Japan
*Correspondence e-mail: [email protected]
A beamline which serves for calibrating transfer standard light sources (deuterium lamps, excimer lamps, Xe lamps etc.) in the UV and VUV regions is being constructed. The synchrotron radiation from the electron storage ring TERAS (750 MeV) is used as a primary standard of spectral radiant intensity. In order to use synchrotron radiation as a primary standard, the electron beam and synchrotron radiation beam parameters need to be evaluated. Uncertainties of synchrotron radiation flux evaluated by measurements of the magnetic flux density, the position of the electron orbital plane, the electron beam size and the distance from the synchrotron radiation tangent point to the detector system are expected to be about 0.003, 0.01, 0.05 and 0.1%, respectively.
Keywords: transfer standards.
1. Introduction
Various light sources in the vacuum ultraviolet (VUV) and ultraviolet (UV) regions have been developed and the demand for the calibration of these light sources has increased. A light-source standard or detector standard is needed for the calibration.
The of synchrotron radiation is calculated theoretically from Schwinger theory (Schwinger, 1949![[Schwinger, J. (1949). Phys. Rev. 75, 1912-1925.]](../../../../../../logos/arrows/s_arr.gif "Schwinger, J. (1949). Phys. Rev. 75, 1912-1925.")
) and can be used as the primary standard light source (Einfeld et al., 1978; Riehle & Wende, 1986; Tegeler, 1989). We have planned to make a transfer standard light source in the UV and VUV spectral regions from comparing synchrotron radiation with the transfer standard light source.
To calculate synchrotron radiation radiant intensity, some beam parameters (electron beam energy, electron beam current, magnetic flux density in the bending magnets, beam size, distance from the tangent point of synchrotron radiation to the first aperture of the calibration system, position of electron orbital plane) need to be evaluated (Hollandt et al., 1992; Klein et al., 1997; Lei et al., 1996; Riehle, 1988; Tegeler & Ulm, 1988).
We are constructing a calibration beamline in the electron storage ring TERAS in the Electrotechnical Laboratory and evaluating some of these beam parameters at the beamline.
In this paper, we will discuss these parameters and the total uncertainty of radiant intensity due to the uncertainty of these parameters. These parameters were measured at an electron beam energy of 750 MeV.
2. Properties of synchrotron radiation
The of synchrotron radiation is derived from Schwinger theory (Schwinger, 1949)
![[\eqalignno{{\rm d}^2\Phi/{\rm d}\theta{\rm d}\psi&={\rm d}^2\Phi_{||}/{\rm d}\theta{\rm d}\psi+{\rm d}^2\Phi_{\perp}/{\rm d}\theta{\rm d}\psi\cr&=(eIR^2/3\pi\varepsilon_0\gamma^4\lambda^3)(\Delta\lambda/\lambda)\cr&\quad\times\left\{[1+(\gamma\psi)^2]^2K_{2/3}^2(\xi)\right.\cr&\left.\,\,\quad+\,\,[1+(\gamma\psi)^2](\gamma\psi)^2K_{1/3}^2(\xi)\right\},&(1)}]](teximages/sl3456fd1.gif)
with
![[\gamma=E/m_0c^2,\quad\quad\xi= (\lambda/2\lambda_c)[1+(\gamma\psi)^2]^{3/2},]](teximages/sl3456fd2.gif)
![[R+E/ecB,\quad\quad\lambda_c=4\pi R/3\gamma^3.]](teximages/sl3456fd3.gif)
In these equations, Φ is the of synchrotron radiation, Φ|| is the parallel intensity component (whose electric vector lies in the orbital plane) of the and Φ⊥ is the perpendicular intensity component (whose electric vector is perpendicular to the orbital plane). E, m0, e and I are the electron energy, and electron beam current, respectively. c, B and R are the speed of light, the of the bending magnet and the radius of curvature of the electron orbit, respectively. K1/3 and K2/3 are modified Bessel functions, ψ is the vertical angle of incident synchrotron radiation from the electron orbital plane, and θ is the horizontal angle. These equations show that the of incident synchrotron radiation is dependent on the vertical angle.
3. Principle of transfer standard light source calibration using synchrotron radiation
Fig. 1 shows the principle of standard light source calibration using synchrotron radiation. We are planning to use a deuterium lamp (D2 lamp) for the transfer standard light source. Deuterium lamps radiate continuous spectra in the UV and VUV spectral regions and the degradation of the due to aging is small (about 0.03% h−1) after sufficient aging (about 100 h) (Zama et al., 1996).
![[Figure 1]](sl3456fig1thm.gif) | Figure 1 Principle of D2 lamp calibration by synchrotron radiation (SR). |
The calibration process is as follows: (i) measure the synchrotron (ii) measure the D2 lamp 1 spectrum which is reflected by Mirror 1 [in both (i) and (ii) the monochromator is set to the position shown by the solid line in Fig. 1 and the light-source images of synchrotron radiation and D2 lamp 1 are focused at the entrance slit of the monochromator]. Through the steps (i) and (ii), the from the D2 lamp 1 and Mirror 1 system can be calibrated by comparing the synchrotron radiation spectrum. Then, the or of D2 lamp can be calibrated by the following steps. (iii) Set D2 lamp 2 on the synchrotron radiation light path close to Mirror 1 and move the monochromator so as to focus the image of D2 lamp 2 on the entrance slit of the monochromator (in Fig. 1 it is shown as a dotted line) and measure the spectrum of D2 lamp 2. (iv) Move D2 lamp 1 so as to make a virtual image of D2 lamp 1 at the position of D2 lamp 2 and measure the spectrum which is reflected by Mirror 1. (v) The or of D2 lamp 2 can be calibrated by comparing the from the D2 lamp 1 and Mirror 1 system.
4. Experiment
4.1. Measurement of the magnetic flux density in the bending magnets
We measured the at the tangent point of synchrotron radiation. For the measurement, an NMR magnetic probe (Echo Technical Cooperation, EFS-800) was installed. Fig. 2 shows the change of the at the tangent point of synchrotron radiation with the operation time of the bending magnet. Each point in this figure represents the average during 20 min (the in this measurement is 1 s). The measurements show that the of the bending magnet is stabilized, whose stability is under 0.002% after 4 h bending-magnet operation. The position of tangent-point synchrotron radiation varies over a few months. From measurements of the spatial profile of the the uncertainty of the due to this reason is evaluated to be less than 0.003%.
![[Figure 2]](sl3456fig2thm.gif) | Figure 2 Change of the magnetic flux density at the tangent point of synchrotron radiation with the operation time of the bending magnet (which represents the average magnetic flux density over 20 min). |
It is shown from these measurements that the uncertainty of the due to both its time variation and the spatial variation of the synchrotron radiation tangent point is less than 0.0036% after 4 h bending-magnet operation. In addition to the above, from the accuracy of the probe system, the total uncertainty of the absolute is calculated to be less than 0.0037%. The of the bending magnet is 1.24059 T. From these results and equation (1), the uncertainty of incident radiant flux due to the magnetic flux density is estimated to be less than 0.003%.
4.2. Measurement of the distance from the tangent point of synchrotron radiation to the first aperture of the calibration system
The distance from the tangent point of synchrotron radiation to the first aperture of the calibration system needs to be measured to calculate the total radiation Fig. 3 shows a schematic diagram for the measurement. A movable slit was installed in our calibration beamline. This slit can move horizontally. A CCD camera (SPECTRA SOURCE MCD600: 1 pixel is 10 × 10 µm) follows this slit. The distance, a, between the slit and the CCD camera is 2044.9 mm. The shadow of the slit edge was measured by the CCD camera.
![[Figure 3]](sl3456fig3thm.gif) | Figure 3 Schematic diagram of the distance measurement from the tangent point of synchrotron radiation to the first aperture of the calibration system. |
Fig. 4 shows the relation of the displacement of the slit-shadow position and that of the slit position. All measurement points lie on one straight line. From the coefficients of this straight line, the distance from the tangent point of synchrotron radiation to the first aperture of the calibration system is determined to be 11725 mm. The uncertainty of this distance is estimated to be less than 0.1%.
![[Figure 4]](sl3456fig4thm.gif) | Figure 4 Position of the slit shadow versus slit position. |
4.3. Determination of the electron orbital plane
Synchrotron radiation is strongly polarized and the of synchrotron radiation is dependent on the vertical angle ψ from the electron orbital plane. The perpendicular intensity component has a hollow distribution. At ψ = 0, the perpendicular intensity component should be zero. We evaluated the electron orbital plane at the first aperture of the calibration beamline by measuring the perpendicular intensity component of synchrotron radiation. For this measurement, a photodiode (VDT UV-100DRV), bandpass filter (peak wavelength 323 nm, band-width 20 nm) and polarizer are used. The photodiode, bandpass filter and polarizer were set in front of the first aperture and scanned vertically. Fig. 5 shows the vertical distribution of the photodiode signal. The signal of the photodiode is normalized by the storage current of the ring. From this measurement, the ψ = 0 position was determined. The uncertainty of the ψ = 0 position is 7.1 × 10−2 mrad. The vertical viewing angle of incident synchrotron radiation is between ψ = −1.28 mrad and 1.28 mrad, because the distance between the synchrotron radiation tangent point and the first aperture is 11725 mm and the aperture is 30 × 30 mm wide. From these results and equation (1), the uncertainty of calculated incident radiant flux at the first aperture is estimated to be less than 0.01%.
![[Figure 5]](sl3456fig5thm.gif) | Figure 5 Perpendicular intensity component of synchrotron radiation (SR) versus the vertical position at the first aperture. |
4.4. Measurement of the electron beam size
The beam emittance (beam size × beam divergence) of the electron beam in the storage ring affects the of synchrotron radiation. In this section, we consider only the beam size effect. The beam size effect is shown in Fig. 6(a). The radiant flux of synchrotron radiation is dependent on the vertical angle ψ as shown by equation (1). In order to measure the beam size at the tangent point of synchrotron radiation, a lens (of focal length 1000 mm) and CCD camera were used. Fig. 6(b) shows the vertical beam profile of the beam cross section of the tangent point. It is found from Fig. 6(b) that the full width at half-maximum of the beam cross section on the vertical direction is 1.4 mm. Δψ shown in Fig. 6(a) is calculated to be 0.6 mrad. From equation (1), Δψ, 0.6 mrad, gives about a 0.05% change of the incident radiation flux of the first aperture.
![[Figure 6]](sl3456fig6thm.gif) | Figure 6 (a) The electron beam size effect of the intensity distribution of synchrotron radiation (SR). (b) Vertical beam profile of synchrotron radiation. |
4.5. Spectrum measurement
Fig. 7 shows the spectrum obtained from processes (i) and (ii) in §3. Now we are preparing the processes (iii)–(v). For these measurements, a deuterium lamp (KOTO BUNKOUGEN: D1323) is used for the transfer standard light source.
![[Figure 7]](sl3456fig7thm.gif) | Figure 7 Synchrotron radiation (SR) spectrum and D2 lamp 1 spectrum which is reflected by Mirror 1. |
5. Conclusions
We have evaluated some beam parameters of synchrotron radiation which are needed for calibration of a transfer light source. Uncertainties of synchrotron radiation caused by the the determination of the orbit plane, the beam size and the distance are estimated to be about 0.003, 0.01, 0.05 and 0.1%, respectively. It appears that the uncertainty is mostly due to the distance measurement from the tangent point of synchrotron radiation to the first aperture of the calibration system.
Acknowledgements
The authors would like to thank Dr T. Yamazaki and the Linac Group for the operation of TERAS.
References
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